Technically speaking, because the way you have the question written, in words the equation would be said as y equals one-thirds multiplied by the absolute value of x, then minus two. Properly saying as y equals two less that the product of one-third and the absolute value of x.
The absolute value is the distance away from 0 therefor the value would alway equal as a positive value. EX1: |21| = 21 EX2: |-21| = 21
even if you considered -2 within y=1/3|x|-2 as -2 being negative two instead of minus two, then it would be the same meaning in the case that you have written out in a mathematical equation format, but really because -2 comes after 1/3|x| and -2 is not in parenthesis then it would make more since to say minus two.
Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
Answer:
0.315 per lb
Step-by-step explanation:
Answer:
9*sqrt(2) (third in your list of answer)
Step-by-step explanation:
Lets indicate the vertices with the letters beginning the upper vertice A next clockwise B and finally C (right angle)
Angle C=45 degrees. ANgle C is 90 degrees ( small square on the diagram means 90 degrees) So the angle A= 180-90-45=45 degrees.
Angle A=angle C=45 degrees=> AC=CB=9
Using Phitagor theorem will get AB= sqrt(AC^2+BC^2)=sqrt(81+81)=9*sqrt(2)